Finding the Third Proportional to 2,564.16 and 5,520.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.16 : 5,520.66 = 5,520.66 : x
2. Step 2: Convert to fraction form
   2,564.16/5,520.66 = 5,520.66/x
3. Step 3: Cross multiply
   2,564.16x = 5,520.66 × 5,520.66
4. Step 4: Simplify right side
   2,564.16x = 30,477,645.43
5. Step 5: Solve for x
   x = 30,477,645.43/2,564.16
6. Step 6: Final answer
   x = 11,886.03